Please help it’s due todayI will give brainliest!!
2 answers:
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Answer:
The angle between vector and
is approximately
radians, which is equivalent to approximately
.
Step-by-step explanation:
The angle between two vectors can be found from the ratio between:
- their dot products, and
- the product of their lengths.
To be precise, if denotes the angle between
and
(assume that
or equivalently
,) then:
.
The first component of is
and the first component of
is also
The second component of is
while the second component of
is
. The product of these two second components is
.
The dot product of and
will thus be:
.
Apply the Pythagorean Theorem to both and
:
.
.
Let represent the angle between
and
. Apply the formula
to find the cosine of this angle:
.
Since is the angle between two vectors, its value should be between
and
(
and
.) That is:
and
. Apply the arccosine function (the inverse of the cosine function) to find the value of
:
.
Answer:
1. 5/6
2. 7/8
3. 1/2
4. 5/4
5. 4/5
6. 5/4
7. 11/12
8. 5/2
9. 11/12
10. 2/3
11. 13/20
12. 1/12
13. 7/22
14. 7/18
15. 2/3
16. 5/12
17. 5/12
18. 3/8
